LCM of 369, 372, 270, 615, 957
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 369, 372, 270, 615, 957 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 369, 372, 270, 615, 957. So, keep reading to learn more.
Given numbers are 369,372,270,615,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 369,372,270,615,957 is 218942460.
Find LCM of 369,372,270,615,957 with Prime Factorization
| 2 | 369, 372, 270, 615, 957 |
| 3 | 369, 186, 135, 615, 957 |
| 3 | 123, 62, 45, 205, 319 |
| 5 | 41, 62, 15, 205, 319 |
| 41 | 41, 62, 3, 41, 319 |
| 1, 62, 3, 1, 319 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 41 x 1 x 62 x 3 x 1 x 319 = 218942460
Therefore, the lowest common multiple of 369,372,270,615,957 is 218942460.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
369 x 372 x 270 x 615 x 957 = 21813237289800
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
369 : 1, 3, 9, 41, 123, 369
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
615 : 1, 3, 5, 15, 41, 123, 205, 615
957 : 1, 3, 11, 29, 33, 87, 319, 957
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,372,270,615,957, is 3.
Now, the common factors can be found like this.
369:3x 3x 41
372:2x 2x 3x 31
270:2x 3x 3x 3x 5
615:3x 5x 41
957:3x 11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 5x 41 = 33210
Therefore, the value for common factors is 33210.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 21813237289800/(3x33210)
LCM = 21813237289800/99630
LCM = 218942460
Thus, we can understand that the LCM of 369,372,270,615,957 is 218942460.
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FAQs on LCM of 369, 372, 270, 615, 957
1. What is the LCM of 369, 372, 270, 615, 957?
Answer: LCM of 369, 372, 270, 615, 957 is 218942460.
2. How to calculate the LCM of 369, 372, 270, 615, 957?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 369, 372, 270, 615, 957.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.